Take Class 11 Tuition from the Best Tutors
Affordable fees 1-1 or Group class Flexible Timings Verified Tutors Search in
Solve the given inequality for real x: 3(x – 1) ≤ 2 (x – 3).
Asked by Divya Last Modified
Answer 
Vishaka Bhutia
Home Tutor
3(x – 1) ≤ 2(x – 3)
⇒ 3x – 3 ≤ 2x – 6
⇒ 3x – 3 + 3 ≤ 2x – 6 + 3
⇒ 3x ≤ 2x – 3
⇒ 3x – 2x ≤ 2x – 3 – 2x
⇒ x ≤ – 3
Thus, all real numbers x,which are less than or equal to –3, are the solutions of the given inequality.
Hence, the solution set of the given inequality is (–∞, –3].
read lessGenius
[3(x - 2)/5 ] ≤ [ 5(2 - x)/3 ]
multiply with 15 both sides,
3(x -2)/5 × 15 ≤ 5( 2 - x)/3 × 15
3(x -2)× 3 ≤5( 2 - x) × 5
9( x -2) ≤ 25(2 - x)
9x - 18 ≤ 50 - 25x
add 25x both sides,
[ equal number may be subtracted from both sides of an inequality without affecting the sign of inequality. ]
now,
9x +25x - 18 ≤ 50
34x ≤ 50 + 18
34x ≤ 68
divide by 34 both sides,
x ≤ 2
Abhishek Kumar
3x-3<
View 1 more Answers
Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com
Ask a QuestionRecommended Articles
6 Exam Hall Tips To Follow, For Every Good Student
Appearing for exams could be stressful for students. Even though they might have prepared well, they could suffer from anxiety, tension etc. These are not good for their health and mind. However, following a few exam preparation tips can save them from all these and help them to score good marks. Let’s find out all...
Read full article >
The Trend of E-learning and it’s Benefits
E-learning is not just about delivering lessons online. It has a much broader scope that goes beyond manual paper or PowerPoint Presentations. To understand the reach of E-learning and how the whole process works in developing the Educational system, we will discuss a few points here. Let us find out how this new learning...
Read full article >
6 Healthy Habits of School Children
While schools provide formal education to the children, the home is where they start learning about things informally. Parents think that schools will take the initiative to educate their children. Well, this is partially true, as parents also play an essential role in bringing up their child. For the development of particular...
Read full article >
How To Choose The Right School For Children?
Quality education does not only help children to get a successful career and life, but it also hugely contributes to society. The formal education of every child starts from school. Although there are numerous schools, parents find it challenging to choose the right one that would fit their child. It is difficult for them...
Read full article >
Looking for Class 11 Tuition ?
Learn from the Best Tutors on UrbanPro
Are you a Tutor or Training Institute?
Join UrbanPro Today to find students near youThe best tutors for Class 11 Tuition Classes are on UrbanPro
The best Tutors for Class 11 Tuition Classes are on UrbanPro
